Elliptic curve data - 11130.n4

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '11130k', 'Clabel': '11130k3', 'Cnumber': 3, 'abc_quality': 0.9843933697975319, 'absD': 21884919000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 44520, 'ainvs': [1, 0, 1, 6971, -20944], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 11130, 'degree': 27648, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2491543949311848922584416498', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [37471278716561591, 21884919000000], 'lmfdb_iso': '11130.n', 'lmfdb_label': '11130.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 6971, -20944], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '280.6.0.?', '318.48.0.?', '840.48.0.?', '44520.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9369404894194568248580123243', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 159], [3, 4, 7], [5, 6, 2226], [7, 8, 1590], [53, 54, 210]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2491543949311848922584416498', 'prec': 100}, 'szpiro_ratio': 4.0958157221663525, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 0, 1, 2, -1, -1, 1, -6, -1, 2, -1], 'aplist': [-1, 1, -1, 1, 0, 2, -6, 2, 0, 0, -4, 2, -6, 8, -6, -1, -6, 2, -10, -12, 2, 14, 12, 0, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 11130, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '11130.n', 'trace_hash': 115766798282110724}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.082223939061340703437312843581', 'prec': 107}, 'conductor': 11130, 'gens': [[75, 2651, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.9369404894194568248580123243', 'prec': 100}], 'lmfdb_label': '11130.n4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.40042812529763473478533577263', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9537796497684408162313861727934448890', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[3, -2, 1]], 'xcoord_integral_points': [3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [6, 1], '5': [1, 0], '7': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '53': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11130.n4'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 577031
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '11130.n4', 'torsion': [6]}
  • id: 577030
    {'degree': 2, 'field': [40, -1, 1], 'lmfdb_label': '11130.n4', 'torsion': [2, 2]}
  • id: 577032
    {'degree': 3, 'field': [-63, 0, 0, 1], 'lmfdb_label': '11130.n4', 'torsion': [6]}
  • id: 577033
    {'degree': 4, 'field': [-101, 46, -45, -2, 1], 'lmfdb_label': '11130.n4', 'torsion': [4]}
  • id: 577034
    {'degree': 4, 'field': [169, 13, 14, -1, 1], 'lmfdb_label': '11130.n4', 'torsion': [2, 6]}
  • id: 577035
    {'degree': 6, 'field': [147, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '11130.n4', 'torsion': [3, 6]}
  • id: 577036
    {'degree': 6, 'field': [75466, -19731, 4731, -115, 123, -3, 1], 'lmfdb_label': '11130.n4', 'torsion': [2, 6]}
  • id: 577039
    {'degree': 8, 'field': [36, 96, 358, -296, 263, -2, -13, -2, 1], 'lmfdb_label': '11130.n4', 'torsion': [12]}
  • id: 577037
    {'degree': 8, 'field': [152332, 2896, 15931, -7214, 3154, -488, 88, -2, 1], 'lmfdb_label': '11130.n4', 'torsion': [2, 4]}
  • id: 577038
    {'degree': 8, 'field': [2537809, 1100218, 305747, 65574, 12674, 1350, 65, -2, 1], 'lmfdb_label': '11130.n4', 'torsion': [2, 4]}
  • id: 577041
    {'degree': 12, 'field': [-36756909, 0, 0, -4000752, 0, 0, 238644, 0, 0, -588, 0, 0, 1], 'lmfdb_label': '11130.n4', 'torsion': [12]}
  • id: 577040
    {'degree': 12, 'field': [5729536, 1424256, -937188, -930490, 358665, 120876, -28825, -9366, 1770, 370, -63, -6, 1], 'lmfdb_label': '11130.n4', 'torsion': [6, 6]}
  • id: 577043
    {'degree': 16, 'field': [4235364, 0, -1210104, 0, 909489, 0, -269556, 0, 72916, 0, -14966, 0, 1536, 0, -56, 0, 1], 'lmfdb_label': '11130.n4', 'torsion': [2, 12]}
  • id: 577044
    {'degree': 16, 'field': [10106041, 9339902, 10720447, 1820954, 2241365, 789332, -80250, 36224, 16286, -29576, 3582, -2900, 917, -110, 31, -2, 1], 'lmfdb_label': '11130.n4', 'torsion': [2, 12]}
  • id: 577042
    {'degree': 16, 'field': [75624931, 38799616, -381016344, 709104704, -502614532, 420301896, -546779996, 353324512, -94576887, 4659976, -1430744, 275352, -48622, 1232, -156, -8, 1], 'lmfdb_label': '11130.n4', 'torsion': [8]}
  • id: 577045
    {'degree': 18, 'field': [62523502209, 0, 0, -19092588732, 0, 0, 8680024395, 0, 0, -192133620, 0, 0, 2186955, 0, 0, -1212, 0, 0, 1], 'lmfdb_label': '11130.n4', 'torsion': [18]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 238351
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '11130.n4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 238352
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11130.n4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 238353
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '11130.n4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 238354
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11130.n4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 238355
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '11130.n4', 'prime': 53, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1737802
    {'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [44509, 12, 44508, 13], [10090, 3, 8373, 44512], [9279, 1858, 42686, 35261], [7430, 3, 29653, 44512], [25441, 12, 19086, 73], [35617, 12, 35622, 73], [11, 2, 44470, 44511], [22261, 12, 6, 73], [1, 0, 12, 1]], 'adelic_image': '44520.96.1.?', 'conductor': 11130, 'lmfdb_label': '11130.n4', 'prime': 0}
  • id: 53592
    {'conductor': 11130, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11130.n4', 'modell_image': '2B', 'prime': 2}
  • id: 53593
    {'conductor': 11130, 'elladic_image': '3.8.0.2', 'lmfdb_label': '11130.n4', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 478835
    {'lmfdb_iso': '11130.n', 'p': 13, 'prec': 20, 'unit': 1135188734308073666821, 'val': 1}
  • id: 478837
    {'lmfdb_iso': '11130.n', 'p': 17, 'prec': 20, 'unit': 62939438090966158073366, 'val': 1}
  • id: 478828
    {'lmfdb_iso': '11130.n', 'p': 19, 'prec': 20, 'unit': 1452200660137757366209845, 'val': 1}
  • id: 478843
    {'lmfdb_iso': '11130.n', 'p': 31, 'prec': 20, 'unit': 11426663780240119398562491427, 'val': 1}
  • id: 478831
    {'lmfdb_iso': '11130.n', 'p': 37, 'prec': 20, 'unit': 93788736704998605581379051316, 'val': 1}
  • id: 478833
    {'lmfdb_iso': '11130.n', 'p': 41, 'prec': 20, 'unit': 3260087285632636845726655291970, 'val': 1}
  • id: 478834
    {'lmfdb_iso': '11130.n', 'p': 43, 'prec': 20, 'unit': 4874548644797375677072906377303, 'val': 1}
  • id: 478841
    {'lmfdb_iso': '11130.n', 'p': 47, 'prec': 20, 'unit': 16610260334006697400059902074424, 'val': 1}
  • id: 478839
    {'lmfdb_iso': '11130.n', 'p': 59, 'prec': 20, 'unit': 4127816407588098714113100855279919, 'val': 1}
  • id: 478842
    {'lmfdb_iso': '11130.n', 'p': 61, 'prec': 20, 'unit': 6794830373959078092072343006237032, 'val': 1}
  • id: 478830
    {'lmfdb_iso': '11130.n', 'p': 67, 'prec': 20, 'unit': 43558907671526320333856265394502950, 'val': 1}
  • id: 478832
    {'lmfdb_iso': '11130.n', 'p': 71, 'prec': 20, 'unit': 8125979912906887237162803995345762, 'val': 1}
  • id: 478840
    {'lmfdb_iso': '11130.n', 'p': 73, 'prec': 20, 'unit': 77239793593591144789210174996134904, 'val': 1}
  • id: 478836
    {'lmfdb_iso': '11130.n', 'p': 79, 'prec': 20, 'unit': 704006952261731966803690108390444120, 'val': 1}
  • id: 478838
    {'lmfdb_iso': '11130.n', 'p': 83, 'prec': 20, 'unit': 1470648535303343612051505777796172975, 'val': 1}
  • id: 478829
    {'lmfdb_iso': '11130.n', 'p': 97, 'prec': 20, 'unit': 29254593738873510712059568673601031868, 'val': 1}